dgsvj0 - processor for the routine sgesvj
SUBROUTINE DGSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) CHARACTER*1 JOBV INTEGER INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP DOUBLE PRECISION EPS, SFMIN, TOL DOUBLE PRECISION A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK) SUBROUTINE DGSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) CHARACTER*1 JOBV INTEGER*8 INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP DOUBLE PRECISION EPS, SFMIN, TOL DOUBLE PRECISION A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK) F95 INTERFACE SUBROUTINE GSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) INTEGER :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO CHARACTER(LEN=1) :: JOBV REAL(8), DIMENSION(:,:) :: A, V REAL(8), DIMENSION(:) :: D, SVA, WORK REAL(8) :: TOL, EPS, SFMIN SUBROUTINE GSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO) INTEGER(8) :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO CHARACTER(LEN=1) :: JOBV REAL(8), DIMENSION(:,:) :: A, V REAL(8), DIMENSION(:) :: D, SVA, WORK REAL(8) :: TOL, EPS, SFMIN C INTERFACE #include <sunperf.h> void dgsvj0 (char jobv, int m, int n, double *a, int lda, double *d, double *sva, int mv, double *v, int ldv, double eps, double sfmin, double tol, int nsweep, int *info); void dgsvj0_64 (char jobv, long m, long n, double *a, long lda, double *d, double *sva, long mv, double *v, long ldv, double eps, double sfmin, double tol, long nsweep, long *info);
Oracle Solaris Studio Performance Library dgsvj0(3P)
NAME
dgsvj0 - pre-processor for the routine sgesvj
SYNOPSIS
SUBROUTINE DGSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
CHARACTER*1 JOBV
INTEGER INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP
DOUBLE PRECISION EPS, SFMIN, TOL
DOUBLE PRECISION A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK)
SUBROUTINE DGSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS,
SFMIN, TOL, NSWEEP, WORK, LWORK, INFO)
CHARACTER*1 JOBV
INTEGER*8 INFO, LDA, LDV, LWORK, M, MV, N, NSWEEP
DOUBLE PRECISION EPS, SFMIN, TOL
DOUBLE PRECISION A(LDA,*), SVA(N), D(N), V(LDV,*), WORK(LWORK)
F95 INTERFACE
SUBROUTINE GSVJ0(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
INTEGER :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO
CHARACTER(LEN=1) :: JOBV
REAL(8), DIMENSION(:,:) :: A, V
REAL(8), DIMENSION(:) :: D, SVA, WORK
REAL(8) :: TOL, EPS, SFMIN
SUBROUTINE GSVJ0_64(JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN,
TOL, NSWEEP, WORK, LWORK, INFO)
INTEGER(8) :: M, N, LDA, MV, LDV, NSWEEP, LWORK, INFO
CHARACTER(LEN=1) :: JOBV
REAL(8), DIMENSION(:,:) :: A, V
REAL(8), DIMENSION(:) :: D, SVA, WORK
REAL(8) :: TOL, EPS, SFMIN
C INTERFACE
#include <sunperf.h>
void dgsvj0 (char jobv, int m, int n, double *a, int lda, double *d,
double *sva, int mv, double *v, int ldv, double eps, double
sfmin, double tol, int nsweep, int *info);
void dgsvj0_64 (char jobv, long m, long n, double *a, long lda, double
*d, double *sva, long mv, double *v, long ldv, double eps,
double sfmin, double tol, long nsweep, long *info);
PURPOSE
dgsvj0 is called from DGESVJ as a pre-processor and that is its main
purpose. It applies Jacobi rotations in the same way as DGESVJ does,
but it does not check convergence (stopping criterion). Few tuning
parameters (marked by [TP]) are available for the implementer.
ARGUMENTS
JOBV (input)
JOBV is CHARACTER*1
Specifies whether the output from this procedure is used to
compute the matrix V:
= 'V': the product of the Jacobi rotations is accumulated by
postmulyiplying the N-by-N array V.
(See the description of V.)
= 'A': the product of the Jacobi rotations is accumulated by
postmulyiplying the MV-by-N array V.
(See the descriptions of MV and V.)
= 'N': the Jacobi rotations are not accumulated.
M (input)
M is INTEGER
The number of rows of the input matrix A. M >= 0.
N (input)
N is INTEGER
The number of columns of the input matrix A.
M >= N >= 0.
A (input/output)
A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, M-by-N matrix A, such that A*diag(D) represents the
input matrix.
On exit, A_onexit*D_onexit represents the input matrix
A*diag(D) post-multiplied by a sequence of Jacobi rotations,
where the rotation threshold and the total number of sweeps
are given in TOL and NSWEEP, respectively.
(See the descriptions of D, TOL and NSWEEP.)
LDA (input)
LDA is INTEGER
The leading dimension of the array A.
LDA >= max(1,M).
D (input/output)
D is DOUBLE PRECISION array, dimension (N)
The array D accumulates the scaling factors from the fast
scaled Jacobi rotations.
On entry, A*diag(D) represents the input matrix.
On exit, A_onexit*diag(D_onexit) represents the input matrix
post-multiplied by a sequence of Jacobi rotations, where the
rotation threshold and the total number of sweeps are given
in TOL and NSWEEP, respectively.
(See the descriptions of A, TOL and NSWEEP.)
SVA (input/output)
SVA is DOUBLE PRECISION array, dimension (N)
On entry, SVA contains the Euclidean norms of the columns of
the matrix A*diag(D).
On exit, SVA contains the Euclidean norms of the columns of
the matrix onexit*diag(D_onexit).
MV (input)
MV is INTEGER
If JOBV .EQ. 'A', then MV rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then MV is not referenced.
V (input/output)
V is DOUBLE PRECISION array, dimension (LDV,N)
If JOBV .EQ. 'V' then N rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV .EQ. 'A' then MV rows of V are post-multipled by a
sequence of Jacobi rotations.
If JOBV = 'N', then V is not referenced.
LDV (input)
LDV is INTEGER
The leading dimension of the array V, LDV >= 1.
If JOBV = 'V', LDV .GE. N.
If JOBV = 'A', LDV .GE. MV.
EPS (input)
EPS is DOUBLE PRECISION
EPS = DLAMCH('Epsilon')
SFMIN (input)
SFMIN is DOUBLE PRECISION
SFMIN = DLAMCH('Safe Minimum')
TOL (input)
TOL is DOUBLE PRECISION
TOL is the threshold for Jacobi rotations. For a pair A(:,p),
A(:,q) of pivot columns, the Jacobi rotation is applied only
if DABS(COS(angle(A(:,p),A(:,q)))) .GT. TOL.
NSWEEP (input)
NSWEEP is INTEGER
NSWEEP is the number of sweeps of Jacobi rotations to be per-
formed.
WORK (output)
WORK is DOUBLE PRECISION array, dimension (LWORK)
LWORK (input)
LWORK is INTEGER
LWORK is the dimension of WORK. LWORK .GE. M.
INFO (output)
INFO is INTEGER
= 0 : successful exit,
< 0 : if INFO = -i, then the i-th argument had an illegal
value.
7 Nov 2015 dgsvj0(3P)